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Simplifying -3(u + -4) = 6u + -42 Reorder the terms: -3(-4 + u) = 6u + -42 (-4 * -3 + u * -3) = 6u + -42 (12 + -3u) = 6u + -42 Reorder the terms: 12 + -3u = -42 + 6u Solving 12 + -3u = -42 + 6u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-6u' to each side of the equation. 12 + -3u + -6u = -42 + 6u + -6u Combine like terms: -3u + -6u = -9u 12 + -9u = -42 + 6u + -6u Combine like terms: 6u + -6u = 0 12 + -9u = -42 + 0 12 + -9u = -42 Add '-12' to each side of the equation. 12 + -12 + -9u = -42 + -12 Combine like terms: 12 + -12 = 0 0 + -9u = -42 + -12 -9u = -42 + -12 Combine like terms: -42 + -12 = -54 -9u = -54 Divide each side by '-9'. u = 6 Simplifying u = 6
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